A vessel contains 4.67 L of bromine whose density is 3.10 g/cm3. What is the mass of the bromine in the vessel (in kilograms)?

검증된 단계별 안내

Convert the volume of bromine from liters to cubic centimeters (cm3), knowing that 1 L = 1000 cm3.

Calculate the mass of bromine in grams using the formula: mass (g) = density (g/cm3) \(\times\) volume (cm3).

Convert the mass from grams to kilograms, knowing that 1 kg = 1000 g.

Use the converted volume and the given density to perform the multiplication step in the formula.

Finally, convert the result from grams to kilograms to find the mass of bromine in the vessel in kilograms.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Density

Density is defined as mass per unit volume and is typically expressed in grams per cubic centimeter (g/cm³) or kilograms per liter (kg/L). It is a crucial property of substances that helps in determining how much mass is contained in a given volume. In this question, the density of bromine is provided, which allows us to calculate its mass when the volume is known.

Volume

Volume is the amount of space that a substance occupies, commonly measured in liters (L) or cubic centimeters (cm³). In this scenario, the volume of bromine is given as 4.67 L, which is essential for calculating the mass using the density. Understanding the relationship between volume and mass through density is key to solving the problem.

Mass Calculation

Mass can be calculated using the formula: mass = density × volume. This relationship allows us to find the mass of a substance when its density and volume are known. In this case, by multiplying the density of bromine by its volume, we can determine the total mass, which is required to answer the question.